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Single-particle tracking

Single-particle tracking is a physics topic covered in the lgStudy science library. This page brings together a partial reference excerpt, illustrations, worked examples, real-world applications and a short study plan, so you can understand Single-particle tracking rather than just read about it. In short: Single-particle tracking (SPT) is the observation of the motion of individual particles within a medium. The coordinates time series, which can be either in two dimensions (x, y) or in three dimensions (x, y, z), is referred to as a trajectory.

Single-particle tracking — main illustration
Single-particle tracking — illustration

Key takeaways

  • Single-particle tracking belongs to physics; place it in that map before memorising details.
  • Learn the definition first, then one example that makes the definition concrete.
  • Connect Single-particle tracking to a quantity you can measure, compute or draw — that is where exam questions come from.
  • Reproduce the core statement of Single-particle tracking from memory before moving on to harder problems.

Reference excerpt

Single-particle tracking (SPT) is the observation of the motion of individual particles within a medium. The coordinates time series, which can be either in two dimensions (x, y) or in three dimensions (x, y, z), is referred to as a trajectory. The trajectory is typically analyzed using statistical methods to extract information about the underlying dynamics of the particle. These dynamics can reveal information about the type of transport being observed (e.g., thermal or active), the medium where the particle is moving, and interactions with other particles. In the case of random motion, trajectory analysis can be used to measure the diffusion coefficient.

Applications In life sciences, single-particle tracking is broadly used to quantify the dynamics of molecules/proteins in live cells (of bacteria, yeast, mammalian cells and live Drosophila embryos). Single Particle Tracking in living cells was first performed by Elf and colleagues to analyze the dynamics of the lac repressor in E. col. It has since been extensively used to study the transcription factor dynamics in live cells. This method has been extensively used in the last decade to understand the target-search mechanism of proteins in live cells. It addresses fundamental biological questions such as how a protein of interest finds its target in the complex cellular environment? how long does it take to find its target site for binding? what is the residence time of proteins binding to DNA? Recently, SPT has been used to study the kinetics of protein translating and processing in vivo. For molecules which bind large structures such as ribosomes, SPT can be used to extract information about the binding kinetics. As ribosome binding increases the effective size of the smaller molecule, the diffusion rate decreases upon binding. By monitoring these changes in diffusion behavior, direct measurements of binding events are obtained. Furthermore, exogenous particles are employed as probes to assess the mechanical properties of the medium, a technique known as passive microrheology. This technique has been applied to investigate the motion of lipids and proteins within membranes, molecules in the nucleus and cytoplasm, organelles and molecules therein, lipid granules, vesicles, and particles introduced in the cytoplasm or the nucleus. Additionally, single-particle tracking has been extensively used in the study of reconstituted lipid bilayers, intermittent diffusion between 3D and either 2D (e.g., a membrane) or 1D (e.g., a DNA polymer) phases, and synthetic entangled actin networks.

Methods The most common type of particles used in single particle tracking are based either on scatterers, such as polystyrene beads or gold nanoparticles that can be tracked using bright field illumination, or fluorescent particles. For fluorescent tags, there are many different options with their own advantages and disadvantages, including quantum dots, fluorescent proteins, organic fluorophores, and cyanine dyes. On a fundamental level, once the images are obtained, single-particle tracking is a two-step process. First the particles are detected and then the localized different particles are connected in order to obtain individual trajectories. Besides performing particle tracking in 2D, there are several imaging modalities for 3D particle tracking, including multifocal plane microscopy, double helix point spread function microscopy, and introducing astigmatism via a cylindrical lens or adaptive optics.

Brownian diffusion

See also Brownian motion Diffusion Microrheology Nanoparticle tracking analysis Single-molecule experiment Single particle trajectory Tethered particle motion

References

External links TrackMate U-Track Double helix PSF method (Andor) Examples of simulated or experimental single-particle trajectories

Illustrations

Single-particle tracking: Principle of single-particle tracking: The rectangles represent frames from an image acquisition at times t = 0, 1, 2, ... The tracked particles are represented as red circles, and in the last frame, the reconstructed trajectories are shown as blue lines
Principle of single-particle tracking: The rectangles represent frames from an image acquisition at times t = 0, 1, 2, ... The tracked particles are represented as red circles, and in the last frame, the reconstructed trajectories are shown as blue lines

Worked examples

Example 1 — a first encounter with Single-particle tracking

Start with the simplest possible case. Write down what Single-particle tracking claims or describes in one sentence, then invent the smallest concrete situation in which that sentence is true. In physics, the smallest case is usually a single object, a single equation or a single measurement. Check that every symbol or term in your sentence has a meaning in that case.

Example 2 — changing one variable

Take the situation from Example 1 and change exactly one quantity: double it, halve it, or set it to zero. Predict what should happen to Single-particle tracking before you calculate. Comparing your prediction with the result is the fastest way to find out whether you understand the idea or only the words.

Example 3 — an exam-style question

Typical questions about Single-particle tracking ask you to (a) state it precisely, (b) apply it to given data, and (c) explain a limitation. Practise writing all three answers in under five minutes; the third part is what separates a full-mark answer from an average one.

Applications of Single-particle tracking

In research
Single-particle tracking appears in physics research whenever the underlying quantities have to be modelled precisely. Papers usually cite it as a starting assumption and then explore where it breaks down.
In technology and industry
Engineering practice reuses Single-particle tracking in design rules, simulations and safety margins. Knowing the idea lets you read a specification sheet and understand why the numbers look the way they do.
In the classroom
Single-particle tracking is common in secondary-school and first-year university syllabi. It links to neighbouring topics Biophysics methods, Laboratory techniques, so understanding it makes those chapters shorter.
In everyday life
Look for Single-particle tracking outside the textbook — in sport, cooking, traffic, electronics or the sky above you. An example you found yourself is remembered far longer than one you were given.
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How to study Single-particle tracking in 20 minutes

  1. Read the reference excerpt below once, without taking notes.
  2. Close the page and write down what Single-particle tracking means in your own words.
  3. Compare your version with the excerpt and mark what you missed.
  4. Work through the three examples above with pen and paper.
  5. Explain Single-particle tracking out loud to somebody else — or to Teacher Smith in the lgStudy chat.

Frequently asked questions

What is Single-particle tracking in simple terms?

Single-particle tracking (SPT) is the observation of the motion of individual particles within a medium. The coordinates time series, which can be either in two dimensions (x, y) or in three dimensions (x, y, z), is referred to as a trajectory.

Why does Single-particle tracking matter?

Because it connects several physics ideas at once: it gives you a definition you can apply, a quantity you can calculate, and a way to check whether a result is plausible.

How should I study Single-particle tracking?

Read the excerpt, restate it from memory, then work through the examples and applications listed on this page. The five-step study plan above takes about twenty minutes.

What does this page cover?

It gives you a compact reference excerpt plus original lgStudy explanations, examples, applications and study material on Single-particle tracking.

Tags

  • Biophysics methods
  • Laboratory techniques

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